Respuesta :

shiw

Answer:

Inverse of given function = log(x)/log(3)

Step-by-step explanation:

How to find the inverse of any function?

  1. In the complete function, replace y with "x" and x with "y"
  2. Then, solve the obtained equation from step 2 for y
  3. And, then the value obtained for "y" is the inverse required i.e. = f^{-1}(x)

Now, we solve the problem:

Given :- y = 3^x

replacing the value of "y" with "x", we get,

x = 3^y

to solve for "y" we should take the "logarithm" for both sides

log (x) = y log(3)

or y = log(x)/log(3)

or f^(-1) (x) = log(x)/log(3)

Anwser is B on edg because the anwser is B